Examination 4

                  Tribhuvan University Institute of Engineering Entrance Examination Board 

                                        BE/B.Arch. Online Entrance Examination

                      IOE FREE EXAM   [30 questions]  

                                          Time: 45min 

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1. Number of non-empty subsets of set A={1,2,3,4}
   
   1.   18
   2.   17
   3.   16
   4.   15
2. The I.U.P.A.C. names of Neopentane
   1.   2-methyl Butane
   2.   2,2-dimethyl propane
   3.   2,2-dimethyl Butane
   4.   2-methyl propane
3. What would be the solubility of silver chloride in 0.10M NaCI solution?
   Ksp for silver chloride=1.20×10−¹⁰
   1.   0.2×10−¹⁰M
   2.   1.2×10−⁹M
   3.   6×10−¹⁰M
   4.   0.2×10−⁶M
4. An X-Ray tube operates at a potential of 100 kV and 10 mA tube current. If only 1% of the electrical power is converted into X-Rays, the rate at which the target is heated is:
   1.   1000W
   2.   100W
   3.   99W
   4.   990W
5. The large aperture of telescope are used for
   1.   Case of manufacture
   2.   Reducing lens aberration
   3.   Greater resolution
   4.   Greater magnification
6. The indicator used in the titration of a strong acid and a strong base is/are :
   1.   Starch paper
   2.   phenolphthalein
   3.   red litmus
   4.   alizarin yellow
7. Laughing gas is prepared by heating
   1.   NH₄Cl
   2.   NH₄NO₃
   3.   NH₄Cl+NaNO₂
   4.   (NH₄)₂SO4
8. If x=3+i then x³−3x²−8x+15=
   
   1.   10
   2.   -15
   3.   6
   4.   -18
9. Vertex of the parabola 9x²−6x+36y+9=0 is
   1.   (1/3,1/2)
   2.   (−1/3,1/2)
   3.   (−1/3,−1/2)
   4.   (1/3,−2/9)
10. The potential energy of a body is given by U=A−Bx² (where x is the displacement). The magnitude of force acting on the particle is
    
    1.   Proportional to x
    2.   Constant
    3.   Proportional to x2
    4.   Inversely proportional to x
11. Of the following sulphides which one is insoluble in dilute acids but soluble in alkalies
    1.   CdS
    2.   FeS
    3.   Sb₂S₃
    4.   PbS
12. A point (x, y, z) moves parallel to xz-plane. Which of the three variable x, y, z remain fixed
    1.   y and z
    2.   y
    3.   z and x
    4.   x and y
13. In which of the following instruments is final image erect?
    1.   Simple microscope
    2.   Astronomical telescope
    3.   None
    4.   Compound microscope
14. Find the electric charge in couloumb of 9.0gm of Al³+ ions.
    
    1.   3216.33 C
    2.   32166.3 C
    3.   9650 C
    4.   96500 C
15. Triple point of water is
    1.   273.16∘F
    2.   273.16K
    3.   273.16R
    4.   273.16∘C
16. The angle between a line with direction ratios 2,2,1 and a line joining (3,1,4) to (7,2,12) is:
    1.   tan−¹(2/3)
    2.   none of these
    3.   cos−¹⁡(−2/3)
    4.   cos−¹(2/3)
17. A particle on the trough of a wave at any instant will come to the mean position after a time.(T= time period)
    1.   T/4
    2.   2T
    3.   T
    4.   T/2
18. Sulphuric acid reacts with PCl₅ to give:
    
    1.   Sulphur ultrachloride
    2.   Sulphuryl chloride
    3.   Thionyl chloride
    4.   Sulphur monochloride
19. 10g of ice at 0∘C is mixed with 100g of water at 50∘C . What is the resultant temperature of mixture ?
    1.   38.2∘C
    2.   36.7∘C
    3.   31.2∘C
    4.   32.8∘C
20. The largest number of molecules present in :
    
    1.   54 g of nitrogen pentoxide
    2.   46 g of ethyl alcohol
    3.   28 g of carbon monoxide
    4.   36 g of water
21. A ball is allowed to fall from a height of 10 m. If there is 40% loss of energy due to impact, then after one impact ball will go upto:
    
    1.   4 m
    2.   10 m
    3.   6 m
    4.   8 m
22. If HM between two numbers is 2 and the GM is 4, then the AM between them is:
    
    1.   2
    2.   8
    3.   9/5
    4.   4
23. The minimum number of linearly independent vectors to give zero resultant is:
    
    1.   can't be determined
    2.   4
    3.   2
    4.   3
24. The sum of an infinite number of terms of a G.P. is 20, and the sum of their squares is 100, then the first term of the G.P. is
    1.   3/5
    2.   8
    3.   5
    4.   8/5
25. The O.N. of 'Fe' in Na₂[Fe(CN)₅NO] is
    
    1.   +1
    2.   +3
    3.   +2
    4.   0
26. In the cell Zn|Zn²+||Cu²+|Cu, the positive electrode is
    1.   Zn²+
    2.   Zn
    3.   Cu²+
    4.   Cu
27. If an object is placed 10 cm infront of a concave mirror of focal length 20 cm, the image will be
    1.   Enlarged, upright, virtual
    2.   Enlarged, upright, real
    3.   Diminished, upright, virtual
    4.   Diminished, inverted, real
28. ㏒ₐx is defined for (a>0)
    All real x
    All negative real x≠1
    All positive real x≠0
    a≥e
    loga X is defined for (a>0)
    
    
    1.   All real x
    2.   All negative real x≠1
    3.   All positive real x≠0
    4.   a≥e
29. Find the derivative of e^xsinx
    
    
    1.   e^xsinx *(xcosx+sinx)
    2.   e^xsinx *(x cosx−sinx)
    3.   e^xsinx *xcosx
    4.   e^xsinx *(−xcosx+sinx)
30. An unknown frequency source X, produces 8 beats with another source of frequency 270 Hz. The frequency of source X will be ?
    1.   282 Hz
    2.   258 Hz
    3.   242 Hz
    4.   262 Hz